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Find the sum of 5x+20 and the opposite.write an equivalent expression in standard form justify each step

1 Answer

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Answer:

  • Therefore, the sum of 5x+20 and the opposite is: 0
  • Thus, the equivalent expression is:


5x+20-\left(5x+20\right)=0

Explanation:

  • We know that the opposite is the additive inverse.
  • For example, 8+(−8)=0 where 0 is the identity for addition.

Given that we have to compute the sum of 5x+20 and the opposite.

Given

  • 5x+20
  • opposite of 5x+20 = -(5x+20)

so

The sum of 5x+20 and the opposite:

5x+20 + -(5x+20)

Distribute the Negative Sign


=5x+20+-1\left(5x+20\right)


=5x+20+-1\left(5x\right)+\left(-1\right)\left(20\right)


=5x+20+-5x+-20

Combine Like Terms


=5x+20+-5x+-20


=\left(5x+-5x\right)+\left(20+-20\right)


=0+0


=0

  • Therefore, the sum of 5x+20 and the opposite is: 0
  • Thus, the equivalent expression is:


5x+20-\left(5x+20\right)=0